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第 20 章

曲げ

曲げ
曲げ
Pure bending occurs when a prismatic member possesses a plane of symmetry and experiences couples of equal magnitudes acting within that plane. This type ...
曲げにおける対称部材
曲げにおける対称部材
Consider a prismatic member subjected to two couples, equal in magnitude but in opposite directions, acting within the symmetric plane of the member. A ...
対称部材の曲げ変形
対称部材の曲げ変形
Consider the deformations of a symmetric prismatic member subjected to equal and opposite couples. As the member bends uniformly, the lines on the wider ...
曲げ応力
曲げ応力
Consider a bending moment where a symmetric member endures stress within the elastic limit. The longitudinal stress can be expressed using Hooke's ...
横断面の変形
横断面の変形
When a material is subjected to uniaxial stress, the material undergoes elongation or contraction in the direction of the applied stress. At the same ...
材料の曲げ: 問題解決
材料の曲げ: 問題解決
Consider two metallic pipes having an inner radii of 1.5 cm and 1 cm, respectively, and an outer radii of 1.8 cm. If both pipes can withstand a maximum ...
複数の材料でできた部材の曲げ
複数の材料でできた部材の曲げ
Consider a member of two different materials that have the same cross-sectional area. The equation of stress for such a member is expressed in terms of ...
応力集中
応力集中
The equation for stress for a member under pure bending having a plane of symmetry and a uniform cross-section assumes that the stress is evenly ...
塑性変形
塑性変形
For pure bending, when maximum stress exceeds the yield strength of the member's material, it undergoes plastic deformation. The strain at any point ...
弾塑性材料で作られた部材
弾塑性材料で作られた部材
Consider a member made up of an elastoplastic material with a rectangular cross-section. Within the elastic limit, the stress distribution across the ...
単一の対称面による部材の塑性変形
単一の対称面による部材の塑性変形
Consider a member experiencing plastic deformation due to bending and having one plane of symmetry. The stresses are uniformly distributed above and below ...
曲げにおける残留応力
曲げにおける残留応力
If a sufficiently large bending moment is applied to an elastoplastic member, plastic zones will develop in the member. Now, if the bending moment is ...
対称面における偏心軸荷重
対称面における偏心軸荷重
Eccentric axial loading refers to the application of an axial load that is not aligned with the centroidal axis of the member. Consider a member having a ...
非対称な曲げ
非対称な曲げ
Unsymmetric bending occurs when the bending moment is not acting along the plane of the symmetry of the member or if the member does not possess any plane ...
非対称曲げ: 中立軸の角度
非対称曲げ: 中立軸の角度
Consider a member with a vertical plane of symmetry subjected to bending couples in a plane at an angle θ with respect to the vertical axis of the ...
偏心軸荷重の一般的な場合
偏心軸荷重の一般的な場合
Consider a member subjected to equal and opposite eccentric forces. These forces are applied at a horizontal distance of a and a vertical distance of b ...
曲線部材の曲げ: ひずみ解析
曲線部材の曲げ: ひずみ解析
Consider a curved member having a transverse section symmetric with the y-axis. Its upper and lower surfaces intersect with xy-planes along arcs of ...
曲面部材の曲げ: 中立面
曲面部材の曲げ: 中立面
For a curved member with a uniform cross-section, the strain equation along the section shows that it varies non-linearly with the distance from the ...
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